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Finding the Third Proportional to 21,215 and 31,818

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Solution

The third proportional to 21,215 and 31,818 is: 47,720.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,215 : 31,818 = 31,818 : x
  2. Step 2: Convert to fraction form
    21,215/31,818 = 31,818/x
  3. Step 3: Cross multiply
    21,215x = 31,818 × 31,818
  4. Step 4: Simplify right side
    21,215x = 1,012,385,124
  5. Step 5: Solve for x
    x = 1,012,385,124/21,215
  6. Step 6: Final answer
    x = 47,720.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.